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Finding the Fourth Proportional to 360.07, 497.31 and 241.87

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Solution

The fourth proportional to 360.07, 497.31 and 241.87 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.07 : 497.31 = 241.87 : x
  2. Step 2: Convert to fraction form
    360.07/497.31 = 241.87/x
  3. Step 3: Cross multiply
    360.07x = 497.31 × 241.87
  4. Step 4: Simplify right side
    360.07x = 120,284.37
  5. Step 5: Solve for x
    x = 120,284.37/360.07
  6. Step 6: Final answer
    x = 334.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.